A Most Incomprehensible Thing

A Most Incomprehensible Thing Author Peter Collier
ISBN-10 9780957389465
Release 2017-04-01
Pages 274
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A clear and enjoyable guide to the mathematics of relativity To really understand relativity – one of the cornerstones of modern physics – you have to get to grips with the mathematics. This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes. Understand even the basics of Einstein's amazing theory and the world will never seem the same again. March 2017. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.



A Most Incomprehensible Thing

A Most Incomprehensible Thing Author Peter Collier
ISBN-10 9780957389458
Release 2014-07-31
Pages 340
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This book is aimed at the enthusiastic general reader who wants to move beyond the maths-lite popularisations in order to tackle the essential mathematics of Einstein's fascinating theories of special and general relativity. One of the cornerstones of modern physics, relativity is based on the concept of four-dimensional spacetime - curved in the vicinity of mass-energy, flat in its absence. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive (in plain English: very weird) consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, a theory of gravity, is at the heart of our understanding of cosmology and black holes. To paraphrase Euclid, there is no royal road to relativity - you have to do the mathematics. This introductory, self-study guide is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Schwarzschild solution; simple black holes (and what different observers would see if someone was unfortunate enough to fall into one). Also covered are the mysteries of dark energy and the cosmological constant; plus relativistic cosmology, including the Friedmann equations and Friedmann-Robertson-Walker cosmological models. Following the historic 2015 LIGO detection, there is now also an additional chapter on gravitational waves. Understand even the basics of Einstein's amazing theory and the world will never seem the same again.



Mathematics of Relativity

Mathematics of Relativity Author George Yuri Rainich
ISBN-10 9780486798226
Release 2014-08-20
Pages 192
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Based on the ideas of Einstein and Minkowski, this concise treatment is derived from the author's many years of teaching the mathematics of relativity at the University of Michigan. Geared toward advanced undergraduates and graduate students of physics, the text covers old physics, new geometry, special relativity, curved space, and general relativity. Beginning with a discussion of the inverse square law in terms of simple calculus, the treatment gradually introduces increasingly complicated situations and more sophisticated mathematical tools. Changes in fundamental concepts, which characterize relativity theory, and the refinements of mathematical technique are incorporated as necessary. The presentation thus offers an easier approach without sacrifice of rigor.



Introduction to Special Relativity

Introduction to Special Relativity Author James H. Smith
ISBN-10 9780486808963
Release 2016-03-22
Pages 240
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By the year 1900, most of physics seemed to be encompassed in the two great theories of Newtonian mechanics and Maxwell's theory of electromagnetism. Unfortunately, there were inconsistencies between the two theories that seemed irreconcilable. Although many physicists struggled with the problem, it took the genius of Einstein to see that the inconsistencies were concerned not merely with mechanics and electromagnetism, but with our most elementary ideas of space and time. In the special theory of relativity, Einstein resolved these difficulties and profoundly altered our conception of the physical universe. Readers looking for a concise, well-written explanation of one of the most important theories in modern physics need search no further than this lucid undergraduate-level text. Replete with examples that make it especially suitable for self-study, the book assumes only a knowledge of algebra. Topics include classical relativity and the relativity postulate, time dilation, the twin paradox, momentum and energy, particles of zero mass, electric and magnetic fields and forces, and more.



The Theoretical Minimum

The Theoretical Minimum Author George Hrabovsky
ISBN-10 9780141976235
Release 2013-01-29
Pages 256
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In this unconventional and stimulating primer, world-class physicist Leonard Susskind and citizen-scientist George Hrabovsky combine forces to provide a brilliant first course in modern physics. Unlike most popular physics books - which give readers a taste of what physicists know but not what they actually do - Susskind and Hrabovsky teach the skills you need to do physics yourself. Combining crystal-clear explanations of the laws of the universe with basic exercises, the authors cover the minimum - the theoretical minimum of the title - that readers need to master in order to study more advanced topics. In a lucid, engaging style, they introduce all the key concepts, from classical mechanics to general relativity to quantum theory. Instead of shying away from the equations and maths that are essential to any understanding of physics, The Theoretical Minimum provides a toolkit that you won't find in any other popular science book.



Quantum Field Theory for the Gifted Amateur

Quantum Field Theory for the Gifted Amateur Author Tom Lancaster
ISBN-10 9780191510939
Release 2014-04-17
Pages 512
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Quantum field theory is arguably the most far-reaching and beautiful physical theory ever constructed, with aspects more stringently tested and verified to greater precision than any other theory in physics. Unfortunately, the subject has gained a notorious reputation for difficulty, with forbidding looking mathematics and a peculiar diagrammatic language described in an array of unforgiving, weighty textbooks aimed firmly at aspiring professionals. However, quantum field theory is too important, too beautiful, and too engaging to be restricted to the professionals. This book on quantum field theory is designed to be different. It is written by experimental physicists and aims to provide the interested amateur with a bridge from undergraduate physics to quantum field theory. The imagined reader is a gifted amateur, possessing a curious and adaptable mind, looking to be told an entertaining and intellectually stimulating story, but who will not feel patronised if a few mathematical niceties are spelled out in detail. Using numerous worked examples, diagrams, and careful physically motivated explanations, this book will smooth the path towards understanding the radically different and revolutionary view of the physical world that quantum field theory provides, and which all physicists should have the opportunity to experience.



An Introduction to Modern Cosmology

An Introduction to Modern Cosmology Author Andrew Liddle
ISBN-10 9781118690253
Release 2015-04-27
Pages 200
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An Introduction to Modern Cosmology Third Edition is an accessible account of modern cosmological ideas. The Big Bang Cosmology is explored, looking at its observational successes in explaining the expansion of the Universe, the existence and properties of the cosmic microwave background, and the origin of light elements in the universe. Properties of the very early Universe are also covered, including the motivation for a rapid period of expansion known as cosmological inflation. The third edition brings this established undergraduate textbook up-to-date with the rapidly evolving observational situation. This fully revised edition of a bestseller takes an approach which is grounded in physics with a logical flow of chapters leading the reader from basic ideas of the expansion described by the Friedman equations to some of the more advanced ideas about the early universe. It also incorporates up-to-date results from the Planck mission, which imaged the anisotropies of the Cosmic Microwave Background radiation over the whole sky. The Advanced Topic sections present subjects with more detailed mathematical approaches to give greater depth to discussions. Student problems with hints for solving them and numerical answers are embedded in the chapters to facilitate the reader’s understanding and learning. Cosmology is now part of the core in many degree programs. This current, clear and concise introductory text is relevant to a wide range of astronomy programs worldwide and is essential reading for undergraduates and Masters students, as well as anyone starting research in cosmology. Supplementary material, including full-colour images, updates and links for students and instructors, is available on the author’s website: http://www.roe.ac.uk/~arl/.



The Perfect Theory

The Perfect Theory Author Pedro G. Ferreira
ISBN-10 9780547554907
Release 2014-02-04
Pages 288
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“Ferreira masterfully portrays the science and scientists behind general relativity’s star-crossed history and argues that even now we are only just beginning to realize its vitality as a tool for understanding the cosmos.” —Scientific American Einstein’s theory of general relativity is possibly the most perfect intellectual achievement of modern physics. For almost a century now, physicists have been delving into Einstein’s theory, seeking an understanding of the history of the universe, the origin of time, and the evolution of solar systems, stars, and galaxies. The expanding universe, the light-speed barrier, black holes, wormholes, time travel—general relativity has allowed scientists’ imaginations to take flight with new possibilities, revealing a universe that is much stranger than anyone ever expected. Just in time for the theory’s hundred-year anniversary, physicist Pedro Ferreira’s The Perfect Theory explains just how staggering an achievement general relativity was while bringing to life the infighting that it sparked in the field of physics over the past century. “A rollicking good read . . . With crisp explanations and narrative flair, Ferreira offers us a fun, fresh take on a magnificent part of modern science.” —Steven Strogatz, author of The Joy of x “One of the best popular accounts of how Einstein and his followers have been trying to explain the universe for decades.” —Kirkus Reviews, starred review



Introduction to General Relativity Black Holes and Cosmology

Introduction to General Relativity  Black Holes  and Cosmology Author Yvonne Choquet-Bruhat
ISBN-10 9780199666454
Release 2015-01-20
Pages 279
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General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.



Einstein s Theory

Einstein s Theory Author Øyvind Grøn
ISBN-10 1461407060
Release 2011-08-30
Pages 358
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This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity. First, the book starts at a lower mathematical level than standard books with tensor calculus of sufficient maturity to make it possible to give detailed calculations of relativistic predictions of practical experiments. Self-contained introductions are given, for example vector calculus, differential calculus and integrations. Second, in-between calculations have been included, making it possible for the non-technical reader to follow step-by-step calculations. Thirdly, the conceptual development is gradual and rigorous in order to provide the inexperienced reader with a philosophically satisfying understanding of the theory. Einstein's Theory: A Rigorous Introduction for the Mathematically Untrained aims to provide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativistic effects.



Spacetime Physics

Spacetime Physics Author Edwin F. Taylor
ISBN-10 0716723271
Release 1992-03-15
Pages 312
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Written by two of the field's true pioneers, Spacetime Physics can extend and enhance coverage of specialty relativity in the classroom. This thoroughly up-to-date, highly accessible overview covers microgravity, collider accelerators, satellite probes, neutron detectors, radioastronomy, and pulsars. The chapter on general relativity with new material on gravity waves, black holes, and cosmology.



The Mathematics of Relativity for the Rest of Us

The Mathematics of Relativity for the Rest of Us Author Louis S. Jagerman
ISBN-10 9781552125670
Release 2001-01
Pages 447
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The Mathematics of Relativity for the Rest of Us is intended to give the generally educated reader a thorough and factual understanding of Einstein's theory of relativity - including the difficult mathematical concepts, even if the reader is not trained in higher mathematics.



Relativity Gravitation and Cosmology

Relativity  Gravitation and Cosmology Author Ta-Pei Cheng
ISBN-10 0198529570
Release 2005
Pages 339
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An introduction to Einstein's general theory of relativity, this work is structured so that interesting applications, such as gravitational lensing, black holes and cosmology, can be presented without the readers having to first learn the difficult mathematics of tensor calculus.



Quantum Mechanics

Quantum Mechanics Author Leonard Susskind
ISBN-10 9780465062904
Release 2015-05-12
Pages 384
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Explains the theory and associated mathematics of quantum mechanics, discussing topics ranging from uncertainty and time dependence to particle and wave states--



Tensors made easy

Tensors made easy Author Giancarlo Bernacchi
ISBN-10 9781326230975
Release 2011-05
Pages 130
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An informal, semplified introduction to the Maths of General Relativity. (revised edition) No particular mathematical background is required beyond calculus with a little bit of partial derivatives.



Einstein Gravity in a Nutshell

Einstein Gravity in a Nutshell Author A. Zee
ISBN-10 9781400847457
Release 2013-05-05
Pages 888
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This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere. Provides an accessible introduction to Einstein's general theory of relativity Guides readers from Newtonian mechanics to the frontiers of modern research Emphasizes symmetry and the Einstein-Hilbert action Covers topics not found in standard textbooks on Einstein gravity Includes interesting historical asides Features numerous exercises and detailed appendices Ideal for students, physicists, and scientifically minded lay readers Solutions manual (available only to teachers)



Understanding Relativity

Understanding Relativity Author Leo Sartori
ISBN-10 0520916247
Release 1996-05-30
Pages 376
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Nonspecialists with no prior knowledge of physics and only reasonable proficiency with algebra can now understand Einstein's special theory of relativity. Effectively diagrammed and with an emphasis on logical structure, Leo Sartori's rigorous but simple presentation will guide interested readers through concepts of relative time and relative space. Sartori covers general relativity and cosmology, but focuses on Einstein's theory. He tracks its history and implications. He explores illuminating paradoxes, including the famous twin paradox, the "pole-in-the-barn" paradox, and the Loedel diagram, which is an accessible, graphic approach to relativity. Students of the history and philosophy of science will welcome this concise introduction to the central concept of modern physics.